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Arte-miy333 [17]
3 years ago
15

Simplify, answer should have only positive exponents.

Mathematics
1 answer:
vaieri [72.5K]3 years ago
8 0

\dfrac{ab^4}{-2b^3}  =\dfrac{ab^{4-3}}{-2} = -\dfrac{ab}{2} = -\dfrac{1}{2} ab

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Which data set has an outlier? 25, 36, 44, 51, 62, 77 3, 3, 3, 7, 9, 9, 10, 14 8, 17, 18, 20, 20, 21, 23, 26, 31, 39 63, 65, 66,
umka21 [38]

It's hard to tell where one set ends and the next starts.  I think it's

A. 25, 36, 44, 51, 62, 77

B. 3, 3, 3, 7, 9, 9, 10, 14

C. 8, 17, 18, 20, 20, 21, 23, 26, 31, 39

D. 63, 65, 66, 69, 71, 78, 80, 81, 82, 82
Let's go through them.

A. 25, 36, 44, 51, 62, 77

That looks OK, standard deviation around 20, mean around 50, points with 2 standard deviations of the mean.

B. 3, 3, 3, 7, 9, 9, 10, 14

Average around 7, sigma around 4, within 2 sigma, seems ok.

C. 8, 17, 18, 20, 20, 21, 23, 26, 31, 39

Average around 20, sigma around 8, that 39 is hanging out there past two sigma.  Let's reserve judgement and compare to the next one.


D. 63, 65, 66, 69, 71, 78, 80, 81, 82, 82

Average around 74, sigma 8, seems very tight.

I guess we conclude C has the outlier 39.  That one doesn't seem like much of an outlier to me; I was looking for a lone point hanging out at five or six sigma.  



3 0
3 years ago
Read 2 more answers
The Royal Fruit Company produces two types of fruit drinks. The first type is 55% pure fruit juice, and the second type is 80% p
Stolb23 [73]

Answer:

First type of fruit drinks: 48 pints

Second type of fruit drinks: 32 pints

Step-by-step explanation:

Let's call A the amount of first type of fruit drinks. 55% pure fruit juice

Let's call B the amount of second type of fruit drinks. 80% pure fruit juice

The resulting mixture should have 65% pure fruit juice and 80 pints.

Then we know that the total amount of mixture will be:

A + B = 80

Then the total amount of pure fruit juice in the mixture will be:

0.55A + 0.8B = 0.65 * 80

0.55A + 0.8B = 52

Then we have two equations and two unknowns so we solve the system of equations. Multiply the first equation by -0.8 and add it to the second equation:

-0.8A -0.8B = -0.8*80

-0.8A -0.8B = -64

-0.8A -0.8B = -64

               +

0.55A + 0.8B = 52

--------------------------------------

-0.25A = -12

A = \frac{-12}{-0.25}

A = 48\ pints

We substitute the value of A into one of the two equations and solve for B.

48 + B = 80

B = 32\ pints

6 0
3 years ago
Nathan usually drinks 36 ounces of water per day. He reads that he should drink 64 ounces per day. If he starts drinking 64 ounc
Paladinen [302]
Questions seems simple but is not

36 ==> 64

About 77% increase
4 0
3 years ago
Please help! How do I find y and r??
Jobisdone [24]

Answer:

Step-by-step explanation:

you find r by the nearest integer of the slope to find the answer

7 0
3 years ago
A number minus the product of 36 and its reciprocal is less than zero. Find the numbers which satsify this condition​
svetlana [45]

Answer:

A number minus the product of

4

and its reciprocal is less than zero. Find the numbers which satisfy this condition.

AAny number less than

−

2

or between

0

and

2

BAny number between

−

2

and

2

CAny number less than

2

DAny number between

0

and

2

Solution

Let the number be x

Then

x

−

(

4

×

1

x

)

≤

0

⇒

x

≤

4

x

⇒

x

2

≤

4

⇒

|

x

|

≤

2

⇒

−

2

≤

x

≤

2

Step-by-step explanation:

5 0
3 years ago
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